Sir rumor spreading model with trust rate distribution

Bum Il Hong; Nahmwoo Hahm; Sun Ho Choi

doi:10.3934/nhm.2018023

Sir rumor spreading model with trust rate distribution

Bum Il Hong, Nahmwoo Hahm, Sun Ho Choi

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we study a rumor spreading model in which several types of ignorants exist with trust rate distributions λ_i, 1 ≤ i ≤ N. We rigorously show the existence of a threshold on a momentum type initial quantity related to rumor outbreak occurrence regardless of the total initial population. We employ a steady state analysis to obtain the final size of the rumor. Using numerical simulations, we demonstrate the analytical result in which the threshold phenomenon exists for rumor size and discuss interaction between the ignorants of several types of trust rates.

Original language	English
Pages (from-to)	515-530
Number of pages	16
Journal	Networks and Heterogeneous Media
Volume	13
Issue number	3
DOIs	https://doi.org/10.3934/nhm.2018023
Publication status	Published - 1 Sept 2018

Bibliographical note

Publisher Copyright:
© American Institute of Mathematical Sciences.

Keywords

Rumor outbreak
Rumor spreading model
SIR
Stability

Access to Document

10.3934/nhm.2018023

Cite this

@article{d1f14f3e0f3148bfa919fd4b6408bab5,

title = "Sir rumor spreading model with trust rate distribution",

abstract = "In this paper, we study a rumor spreading model in which several types of ignorants exist with trust rate distributions λi, 1 ≤ i ≤ N. We rigorously show the existence of a threshold on a momentum type initial quantity related to rumor outbreak occurrence regardless of the total initial population. We employ a steady state analysis to obtain the final size of the rumor. Using numerical simulations, we demonstrate the analytical result in which the threshold phenomenon exists for rumor size and discuss interaction between the ignorants of several types of trust rates.",

keywords = "Rumor outbreak, Rumor spreading model, SIR, Stability",

author = "Hong, {Bum Il} and Nahmwoo Hahm and Choi, {Sun Ho}",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

year = "2018",

month = sep,

day = "1",

doi = "10.3934/nhm.2018023",

language = "English",

volume = "13",

pages = "515--530",

journal = "Networks and Heterogeneous Media",

issn = "1556-1801",

publisher = "American Institute of Mathematical Sciences",

number = "3",

}

TY - JOUR

T1 - Sir rumor spreading model with trust rate distribution

AU - Hong, Bum Il

AU - Hahm, Nahmwoo

AU - Choi, Sun Ho

N1 - Publisher Copyright: © American Institute of Mathematical Sciences.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - In this paper, we study a rumor spreading model in which several types of ignorants exist with trust rate distributions λi, 1 ≤ i ≤ N. We rigorously show the existence of a threshold on a momentum type initial quantity related to rumor outbreak occurrence regardless of the total initial population. We employ a steady state analysis to obtain the final size of the rumor. Using numerical simulations, we demonstrate the analytical result in which the threshold phenomenon exists for rumor size and discuss interaction between the ignorants of several types of trust rates.

AB - In this paper, we study a rumor spreading model in which several types of ignorants exist with trust rate distributions λi, 1 ≤ i ≤ N. We rigorously show the existence of a threshold on a momentum type initial quantity related to rumor outbreak occurrence regardless of the total initial population. We employ a steady state analysis to obtain the final size of the rumor. Using numerical simulations, we demonstrate the analytical result in which the threshold phenomenon exists for rumor size and discuss interaction between the ignorants of several types of trust rates.

KW - Rumor outbreak

KW - Rumor spreading model

KW - SIR

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85054101716&partnerID=8YFLogxK

U2 - 10.3934/nhm.2018023

DO - 10.3934/nhm.2018023

M3 - Article

AN - SCOPUS:85054101716

SN - 1556-1801

VL - 13

SP - 515

EP - 530

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

IS - 3

ER -

Sir rumor spreading model with trust rate distribution

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this